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25 Mar 2021, 01:57
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:37) correct
35%
(01:41)
wrong
based on 222
sessions
History
Date
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Not Attempted Yet
The value of \(\frac{\sqrt{1.209}}{\sqrt{0.0897} }\) is closest to which of the following?
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
25 Mar 2021, 07:30
Kudos
Bookmarks
sjuniv32
The value of \(\frac{\sqrt{1.209}}{\sqrt{0.0897} }\) is closest to which of the following?
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
Let's replace 1.209 and 0.0897 is similar values that have "nice" square roots.
\(\sqrt{1.21}=1.1\) and \(\sqrt{0.09}=0.3\)
So we can write: \(\frac{\sqrt{1.209}}{\sqrt{0.0897} } ≈ \frac{\sqrt{1.21}}{\sqrt{0.09} }\)
\(≈ \frac{1.1}{0.3}\)
\(≈ \frac{11}{3}\)
\(≈ 3.something\)
Answer: C
General Discussion
25 Mar 2021, 09:09
Kudos
Bookmarks
sjuniv32
The value of \(\frac{\sqrt{1.209}}{\sqrt{0.0897} }\) is closest to which of the following?
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
A) 1.1
B) 2.7
C) 3.7
D) 12.9
E) 13.7
\(\approx\sqrt{\frac{1.2}{0.09}} = \sqrt{\frac{40}{3}} \approx \sqrt{13}\). We know this value is greater than \(3 = \sqrt{9}\) but less than \(4 = \sqrt{16}\) so we choose C.
Ans: C
